1444047456 has 288 divisors, whose sum is σ = 4396750848. Its totient is φ = 413614080.

The previous prime is 1444047421. The next prime is 1444047469. The reversal of 1444047456 is 6547404441.

It is a super-3 number, since 3×1444047456³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19781436 + ... + 19781508.

It is an arithmetic number, because the mean of its divisors is an integer number (15266496).

Almost surely, 2^1444047456 is an apocalyptic number.

1444047456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198375424).

1444047456 is an abundant number, since it is smaller than the sum of its proper divisors (2952703392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1444047456 is a wasteful number, since it uses less digits than its factorization.

1444047456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 1444047456 is about 38000.6244159224. The cubic root of 1444047456 is about 1130.3002454834.

The spelling of 1444047456 in words is "one billion, four hundred forty-four million, forty-seven thousand, four hundred fifty-six".